4005673412418 has 48 divisors (see below), whose sum is σ = 9152951240160. Its totient is φ = 1312593538176.

The previous prime is 4005673412401. The next prime is 4005673412441. The reversal of 4005673412418 is 8142143765004.

4005673412418 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 67 + 341 + 241 + 8 = 666.

4005673412418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69819855 + ... + 69877202.

It is an arithmetic number, because the mean of its divisors is an integer number (190686484170).

Almost surely, 2^{4005673412418} is an apocalyptic number.

4005673412418 is an abundant number, since it is smaller than the sum of its proper divisors (5147277827742).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4005673412418 is a wasteful number, since it uses less digits than its factorization.

4005673412418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139697133 (or 139697121 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4005673412418 in words is "four trillion, five billion, six hundred seventy-three million, four hundred twelve thousand, four hundred eighteen".